Provide the Proper Response $f(x)=\left\{\begin{array}{l}x \text { if } x \leq a \\ x^{4} \text { if } x>a\end{array}\right.$

Multiple Choice

Provide the proper response.
-The function $f(x) =\left\{\begin{array}{l}x \text { if } x \leq a \\ x^{4} \text { if } x>a\end{array}\right.$ is continuous at a. What value(s) of a allow(s) this statement to be true? Give a complete list of the values a could have.

A) The function would be continuous if a were 0 .
B) The function would be continuous if a were either 0 or 1 .
C) The function would be continuous if a were $-1,0$ , or 1 .
D) The function would be continuous if a were 1 .